Question
Statement-1:
For an observer looking out through the window of a fast moving train, the nearby objects appear to move in the opposite direction to the trian, while the distant objects appear to be stationary.
and Statement-2:
If the observer and the object are moving at velocities and respectively with reference to a laboratory frame, the velocity of the object with respect to the observer is .
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Question 1
Let be the line passing through the points and . Let be the set of all pairs of circles such that is tangent to at and tangent to at , and also such that and touch each other at a point, say, . Let be the set representing the locus of as the pair varies in . Let the set of all straight lines segments joining a pair of distinct points of and passing through the point be . Let be the set of the mid-points of the line segments in the set . Then, which of the following statement(s) is (are) TRUE?The point lies in (b) The point does NOT lie in (c) The point lies in (d) The point does NOT lie in Question 2
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Question Text | Statement-1: For an observer looking out through the window of a fast moving train, the nearby objects appear to move in the opposite direction to the trian, while the distant objects appear to be stationary. and Statement-2: If the observer and the object are moving at velocities and respectively with reference to a laboratory frame, the velocity of the object with respect to the observer is . |